(* Content-type: application/vnd.wolfram.mathematica *)

(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)

(* CreatedBy='Mathematica 10.4' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       158,          7]
NotebookDataLength[     23339,        762]
NotebookOptionsPosition[     17447,        588]
NotebookOutlinePosition[     21193,        686]
CellTagsIndexPosition[     21073,        680]
WindowTitle->HypergeometricAC
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[GridBox[{
   {Cell["FEYN CALC SYMBOL", "PacletNameCell"], Cell[TextData[{
     Cell[BoxData[
      ActionMenuBox[
       FrameBox[
        InterpretationBox[Cell[TextData[{
          "See Also",
          StyleBox[" \[FilledDownTriangle]", "AnchorBarArrow",
           StripOnInput->False]
         }]],
         TextCell[
          Row[{"See Also", 
            Style[" \[FilledDownTriangle]", "AnchorBarArrow"]}]]],
        StripOnInput->False], {"\<\"HypExplicit\"\>":>
       Documentation`HelpLookup[
       "paclet:FeynCalc/ref/HypExplicit"], "\<\"HypergeometricIR\"\>":>
       Documentation`HelpLookup[
       "paclet:FeynCalc/ref/HypergeometricIR"], "\<\"HypergeometricSE\"\>":>
       Documentation`HelpLookup[
       "paclet:FeynCalc/ref/HypergeometricSE"], "\<\"ToHypergeometric\"\>":>
       Documentation`HelpLookup["paclet:FeynCalc/ref/ToHypergeometric"]},
       Appearance->None,
       MenuAppearance->Automatic,
       MenuStyle->"SeeAlso"]],
      LineSpacing->{1.4, 0}],
     "\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\
\[ThickSpace]",
     Cell[BoxData[
      ActionMenuBox[
       FrameBox[
        InterpretationBox[Cell[TextData[{
          "URL",
          StyleBox[" \[FilledDownTriangle]", "AnchorBarArrow",
           StripOnInput->False]
         }]],
         TextCell[
          Row[{"URL", 
            Style[" \[FilledDownTriangle]", "AnchorBarArrow"]}]]],
        StripOnInput->False], {"\<\"FeynCalc/ref/HypergeometricAC\"\>":>
       None, "\<\"Copy Wolfram Documentation Center URL\"\>":>
       Module[{DocumentationSearch`Private`nb$}, 
        DocumentationSearch`Private`nb$ = NotebookPut[
           Notebook[{
             Cell["FeynCalc/ref/HypergeometricAC"]}, Visible -> False]]; 
        SelectionMove[DocumentationSearch`Private`nb$, All, Notebook]; 
        FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
        NotebookClose[DocumentationSearch`Private`nb$]; Null], 
       Delimiter, "\<\"Copy web URL\"\>":>
       Module[{DocumentationSearch`Private`nb$}, 
        DocumentationSearch`Private`nb$ = NotebookPut[
           Notebook[{
             Cell[
              BoxData[
               MakeBoxes[
                Hyperlink[
                "http://reference.wolfram.com/language/FeynCalc/ref/\
HypergeometricAC.html"], StandardForm]], "Input", TextClipboardType -> 
              "PlainText"]}, Visible -> False]]; 
        SelectionMove[DocumentationSearch`Private`nb$, All, Notebook]; 
        FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
        NotebookClose[DocumentationSearch`Private`nb$]; 
        Null], "\<\"Go to web URL\"\>":>FrontEndExecute[{
         NotebookLocate[{
           URL[
            StringJoin[
             If[
              TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$164450], 
              "http://reference.wolfram.com/system-modeler/", 
              "http://reference.wolfram.com/language/"], 
             "FeynCalc/ref/HypergeometricAC", ".html"]], None}]}]},
       Appearance->None,
       MenuAppearance->Automatic,
       MenuStyle->"URLMenu"]],
      LineSpacing->{1.4, 0}]
    }], "AnchorBar"]}
  }]], "AnchorBarGrid",
 GridBoxOptions->{GridBoxItemSize->{"Columns" -> {
     Scaled[0.65], {
      Scaled[0.34]}}, "ColumnsIndexed" -> {}, "Rows" -> {{1.}}, 
   "RowsIndexed" -> {}}},
 CellID->1],

Cell[TextData[{
 Cell["HypergeometricAC", "ObjectName"],
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{8, 0}],
    CacheGraphics->False],
   Spacer[8]]]],
 Cell[BoxData[""], "ObjectNameTranslation"]
}], "ObjectNameGrid"],

Cell[CellGroupData[{

Cell[BoxData[GridBox[{
   {"", Cell[TextData[{
     Cell[BoxData[
      RowBox[{
       RowBox[{"HypergeometricAC", "[", "n", "]"}], "[", "exp", "]"}]], 
      "InlineFormula"],
     " \[LineSeparator]",
     "analytically continues Hypergeometric2F1 functions in exp. The second \
argument n refers to the equation number (n) in chapter 2.10 of \"Higher \
Transcendental Functions\" by Ergelyi, Magnus, Oberhettinger, Tricomi. In \
case of eq. (6) (p.109) the last line is returned for \
HypergeometricAC[6][exp], while the first equality is given by \
HypergeometricAC[61][exp]. ((2.10.1) is identical to eq. (9.5.7) of \"Special \
Functions & their Applications\" by N.N.Lebedev)."
    }]]}
  }]], "Usage",
 GridBoxOptions->{
 GridBoxBackground->{
  "Columns" -> {{None}}, "ColumnsIndexed" -> {}, "Rows" -> {{None}}, 
   "RowsIndexed" -> {}}},
 CellID->982511436],

Cell[CellGroupData[{

Cell[TextData[Cell[BoxData[
 ButtonBox[Cell[TextData[{
   Cell[BoxData[
    InterpretationBox[
     StyleBox[
      GraphicsBox[{},
       BaselinePosition->Baseline,
       ImageSize->{6, 0}],
      CacheGraphics->False],
     Spacer[6]]]],
   "Details"
  }], "NotesFrameText"],
  Appearance->{Automatic, None},
  BaseStyle->None,
  ButtonFunction:>(FrontEndExecute[{
     FrontEnd`SelectionMove[
      FrontEnd`SelectedNotebook[], All, ButtonCell], 
     FrontEndToken["OpenCloseGroup"], 
     FrontEnd`SelectionMove[
      FrontEnd`SelectedNotebook[], After, CellContents]}]& ),
  Evaluator->None,
  Method->"Preemptive"]]]], "NotesSection",
 WholeCellGroupOpener->True,
 CellGroupingRules->{"SectionGrouping", 50},
 CellID->520602728],

Cell["", "SectionHeaderSpacer"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Options", "[", "HypergeometricAC", "]"}]], "Input",
 CellTags->"HypergeometricAC",
 CellLabel->"In[220]:=",
 CellID->860770759],

Cell[BoxData[
 FormBox[
  RowBox[{"{", 
   RowBox[{"Collect2", "\[Rule]", "True"}], "}"}], TraditionalForm]], "Output",\

 ImageSize->{111, 16},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"HypergeometricAC",
 CellLabel->"Out[220]="]
}, Open  ]]
}, Closed]]
}, Open  ]],

Cell[CellGroupData[{

Cell[TextData[{
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{6, 0}],
    CacheGraphics->False],
   Spacer[6]]]],
 "Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "PrimaryExamplesSection",
 WholeCellGroupOpener->True,
 CellTags->"PrimaryExamplesSection",
 CellID->1636275926],

Cell[CellGroupData[{

Cell[TextData[{
 "Basic Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "ExampleSection", "ExampleSection",
 WholeCellGroupOpener->True,
 CellID->949216221],

Cell["These are all transformation rules currently built in.", "Notes"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"HypergeometricAC", "[", "1", "]"}], "[", 
  RowBox[{"Hypergeometric2F1", "[", 
   RowBox[{"\[Alpha]", ",", "\[Beta]", ",", "\[Gamma]", ",", "z"}], "]"}], 
  "]"}]], "Input",
 CellTags->"HypergeometricAC",
 CellLabel->"In[1]:=",
 CellID->1062959179],

Cell[BoxData[
 FormBox[
  RowBox[{
   FractionBox[
    RowBox[{
     TemplateBox[{"\[Gamma]"},
      "Gamma"], " ", 
     TemplateBox[{RowBox[{"\[Alpha]", "+", "\[Beta]", "-", "\[Gamma]"}]},
      "Gamma"], " ", 
     SuperscriptBox[
      RowBox[{"(", 
       RowBox[{"1", "-", "z"}], ")"}], 
      RowBox[{
       RowBox[{"-", "\[Alpha]"}], "-", "\[Beta]", "+", "\[Gamma]"}]], " ", 
     TemplateBox[{
      RowBox[{"\[Gamma]", "-", "\[Alpha]"}],
       RowBox[{"\[Gamma]", "-", "\[Beta]"}],RowBox[{
         RowBox[{"-", "\[Alpha]"}], "-", "\[Beta]", "+", "\[Gamma]", "+", 
         "1"}],RowBox[{"1", "-", "z"}]},
      "Hypergeometric2F1"]}], 
    RowBox[{
     TemplateBox[{"\[Alpha]"},
      "Gamma"], " ", 
     TemplateBox[{"\[Beta]"},
      "Gamma"]}]], "+", 
   FractionBox[
    RowBox[{
     TemplateBox[{"\[Gamma]"},
      "Gamma"], " ", 
     TemplateBox[{RowBox[{
         RowBox[{"-", "\[Alpha]"}], "-", "\[Beta]", "+", "\[Gamma]"}]},
      "Gamma"], " ", 
     TemplateBox[{
      "\[Alpha]","\[Beta]",
       RowBox[{"\[Alpha]", "+", "\[Beta]", "-", "\[Gamma]", "+", "1"}],
       RowBox[{"1", "-", "z"}]},
      "Hypergeometric2F1"]}], 
    RowBox[{
     TemplateBox[{RowBox[{"\[Gamma]", "-", "\[Alpha]"}]},
      "Gamma"], " ", 
     TemplateBox[{RowBox[{"\[Gamma]", "-", "\[Beta]"}]},
      "Gamma"]}]]}], TraditionalForm]], "Output",
 ImageSize->{504, 88},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"HypergeometricAC",
 CellLabel->"Out[1]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"HypergeometricAC", "[", "2", "]"}], "[", 
  RowBox[{"Hypergeometric2F1", "[", 
   RowBox[{"\[Alpha]", ",", "\[Beta]", ",", "\[Gamma]", ",", "z"}], "]"}], 
  "]"}]], "Input",
 CellTags->"HypergeometricAC",
 CellLabel->"In[2]:=",
 CellID->1497393441],

Cell[BoxData[
 FormBox[
  RowBox[{
   FractionBox[
    RowBox[{
     TemplateBox[{"\[Gamma]"},
      "Gamma"], " ", 
     SuperscriptBox[
      RowBox[{"(", 
       RowBox[{"-", "z"}], ")"}], 
      RowBox[{"-", "\[Alpha]"}]], " ", 
     TemplateBox[{RowBox[{"\[Beta]", "-", "\[Alpha]"}]},
      "Gamma"], " ", 
     TemplateBox[{
      "\[Alpha]",RowBox[{"\[Alpha]", "-", "\[Gamma]", "+", "1"}],
       RowBox[{"\[Alpha]", "-", "\[Beta]", "+", "1"}],FractionBox["1", "z"]},
      "Hypergeometric2F1"]}], 
    RowBox[{
     TemplateBox[{"\[Beta]"},
      "Gamma"], " ", 
     TemplateBox[{RowBox[{"\[Gamma]", "-", "\[Alpha]"}]},
      "Gamma"]}]], "+", 
   FractionBox[
    RowBox[{
     TemplateBox[{"\[Gamma]"},
      "Gamma"], " ", 
     SuperscriptBox[
      RowBox[{"(", 
       RowBox[{"-", "z"}], ")"}], 
      RowBox[{"-", "\[Beta]"}]], " ", 
     TemplateBox[{RowBox[{"\[Alpha]", "-", "\[Beta]"}]},
      "Gamma"], " ", 
     TemplateBox[{
      "\[Beta]",RowBox[{"\[Beta]", "-", "\[Gamma]", "+", "1"}],RowBox[{
         RowBox[{"-", "\[Alpha]"}], "+", "\[Beta]", "+", "1"}],FractionBox[
       "1", "z"]},
      "Hypergeometric2F1"]}], 
    RowBox[{
     TemplateBox[{"\[Alpha]"},
      "Gamma"], " ", 
     TemplateBox[{RowBox[{"\[Gamma]", "-", "\[Beta]"}]},
      "Gamma"]}]]}], TraditionalForm]], "Output",
 ImageSize->{386, 128},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"HypergeometricAC",
 CellLabel->"Out[2]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"HypergeometricAC", "[", "3", "]"}], "[", 
  RowBox[{"Hypergeometric2F1", "[", 
   RowBox[{"\[Alpha]", ",", "\[Beta]", ",", "\[Gamma]", ",", "z"}], "]"}], 
  "]"}]], "Input",
 CellTags->"HypergeometricAC",
 CellLabel->"In[3]:=",
 CellID->1365244505],

Cell[BoxData[
 FormBox[
  RowBox[{
   FractionBox[
    RowBox[{
     TemplateBox[{"\[Gamma]"},
      "Gamma"], " ", 
     SuperscriptBox[
      RowBox[{"(", 
       RowBox[{"1", "-", "z"}], ")"}], 
      RowBox[{"-", "\[Alpha]"}]], " ", 
     TemplateBox[{RowBox[{"\[Beta]", "-", "\[Alpha]"}]},
      "Gamma"], " ", 
     TemplateBox[{
      "\[Alpha]",RowBox[{"\[Gamma]", "-", "\[Beta]"}],
       RowBox[{"\[Alpha]", "-", "\[Beta]", "+", "1"}],FractionBox["1", 
        RowBox[{"1", "-", "z"}]]},
      "Hypergeometric2F1"]}], 
    RowBox[{
     TemplateBox[{"\[Beta]"},
      "Gamma"], " ", 
     TemplateBox[{RowBox[{"\[Gamma]", "-", "\[Alpha]"}]},
      "Gamma"]}]], "+", 
   FractionBox[
    RowBox[{
     TemplateBox[{"\[Gamma]"},
      "Gamma"], " ", 
     SuperscriptBox[
      RowBox[{"(", 
       RowBox[{"1", "-", "z"}], ")"}], 
      RowBox[{"-", "\[Beta]"}]], " ", 
     TemplateBox[{RowBox[{"\[Alpha]", "-", "\[Beta]"}]},
      "Gamma"], " ", 
     TemplateBox[{"\[Beta]",RowBox[{"\[Gamma]", "-", "\[Alpha]"}],RowBox[{
         RowBox[{"-", "\[Alpha]"}], "+", "\[Beta]", "+", "1"}],FractionBox[
       "1", 
        RowBox[{"1", "-", "z"}]]},
      "Hypergeometric2F1"]}], 
    RowBox[{
     TemplateBox[{"\[Alpha]"},
      "Gamma"], " ", 
     TemplateBox[{RowBox[{"\[Gamma]", "-", "\[Beta]"}]},
      "Gamma"]}]]}], TraditionalForm]], "Output",
 ImageSize->{397, 128},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"HypergeometricAC",
 CellLabel->"Out[3]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"HypergeometricAC", "[", "4", "]"}], "[", 
  RowBox[{"Hypergeometric2F1", "[", 
   RowBox[{"\[Alpha]", ",", "\[Beta]", ",", "\[Gamma]", ",", "z"}], "]"}], 
  "]"}]], "Input",
 CellTags->"HypergeometricAC",
 CellLabel->"In[4]:=",
 CellID->411308116],

Cell[BoxData[
 FormBox[
  RowBox[{
   FractionBox[
    RowBox[{
     TemplateBox[{"\[Gamma]"},
      "Gamma"], " ", 
     SuperscriptBox["z", 
      RowBox[{"-", "\[Alpha]"}]], " ", 
     TemplateBox[{RowBox[{
         RowBox[{"-", "\[Alpha]"}], "-", "\[Beta]", "+", "\[Gamma]"}]},
      "Gamma"], " ", 
     TemplateBox[{
      "\[Alpha]",RowBox[{"\[Alpha]", "-", "\[Gamma]", "+", "1"}],
       RowBox[{"\[Alpha]", "+", "\[Beta]", "-", "\[Gamma]", "+", "1"}],
       RowBox[{"-", 
         FractionBox[
          RowBox[{"1", "-", "z"}], "z"]}]},
      "Hypergeometric2F1"]}], 
    RowBox[{
     TemplateBox[{RowBox[{"\[Gamma]", "-", "\[Alpha]"}]},
      "Gamma"], " ", 
     TemplateBox[{RowBox[{"\[Gamma]", "-", "\[Beta]"}]},
      "Gamma"]}]], "+", 
   RowBox[{
    FractionBox["1", 
     RowBox[{
      TemplateBox[{"\[Alpha]"},
       "Gamma"], " ", 
      TemplateBox[{"\[Beta]"},
       "Gamma"]}]], 
    TemplateBox[{"\[Gamma]"},
     "Gamma"], " ", 
    SuperscriptBox["z", 
     RowBox[{"\[Alpha]", "-", "\[Gamma]"}]], " ", 
    TemplateBox[{RowBox[{"\[Alpha]", "+", "\[Beta]", "-", "\[Gamma]"}]},
     "Gamma"], " ", 
    SuperscriptBox[
     RowBox[{"(", 
      RowBox[{"1", "-", "z"}], ")"}], 
     RowBox[{
      RowBox[{"-", "\[Alpha]"}], "-", "\[Beta]", "+", "\[Gamma]"}]], " ", 
    TemplateBox[{
     RowBox[{"1", "-", "\[Alpha]"}],RowBox[{"\[Gamma]", "-", "\[Alpha]"}],
      RowBox[{
        RowBox[{"-", "\[Alpha]"}], "-", "\[Beta]", "+", "\[Gamma]", "+", 
        "1"}],RowBox[{"-", 
        FractionBox[
         RowBox[{"1", "-", "z"}], "z"]}]},
     "Hypergeometric2F1"]}]}], TraditionalForm]], "Output",
 ImageSize->{562, 103},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"HypergeometricAC",
 CellLabel->"Out[4]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"HypergeometricAC", "[", "6", "]"}], "[", 
  RowBox[{"Hypergeometric2F1", "[", 
   RowBox[{"\[Alpha]", ",", "\[Beta]", ",", "\[Gamma]", ",", "z"}], "]"}], 
  "]"}]], "Input",
 CellTags->"HypergeometricAC",
 CellLabel->"In[5]:=",
 CellID->436366778],

Cell[BoxData[
 FormBox[
  RowBox[{
   SuperscriptBox[
    RowBox[{"(", 
     RowBox[{"1", "-", "z"}], ")"}], 
    RowBox[{"-", "\[Beta]"}]], " ", 
   TemplateBox[{
    "\[Beta]",RowBox[{"\[Gamma]", "-", "\[Alpha]"}],"\[Gamma]",RowBox[{"-", 
       FractionBox["z", 
        RowBox[{"1", "-", "z"}]]}]},
    "Hypergeometric2F1"]}], TraditionalForm]], "Output",
 ImageSize->{235, 33},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"HypergeometricAC",
 CellLabel->"Out[5]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"HypergeometricAC", "[", "61", "]"}], "[", 
  RowBox[{"Hypergeometric2F1", "[", 
   RowBox[{"\[Alpha]", ",", "\[Beta]", ",", "\[Gamma]", ",", "z"}], "]"}], 
  "]"}]], "Input",
 CellTags->"HypergeometricAC",
 CellLabel->"In[6]:=",
 CellID->417226545],

Cell[BoxData[
 FormBox[
  RowBox[{
   SuperscriptBox[
    RowBox[{"(", 
     RowBox[{"1", "-", "z"}], ")"}], 
    RowBox[{"-", "\[Alpha]"}]], " ", 
   TemplateBox[{
    "\[Alpha]",RowBox[{"\[Gamma]", "-", "\[Beta]"}],"\[Gamma]",RowBox[{"-", 
       FractionBox["z", 
        RowBox[{"1", "-", "z"}]]}]},
    "Hypergeometric2F1"]}], TraditionalForm]], "Output",
 ImageSize->{235, 33},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"HypergeometricAC",
 CellLabel->"Out[6]="]
}, Open  ]]
}, Open  ]],

Cell["", "SectionFooterSpacer"]
}, Open  ]],

Cell[CellGroupData[{

Cell[TextData[{
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{6, 0}],
    CacheGraphics->False],
   Spacer[6]]]],
 "See Also"
}], "SeeAlsoSection",
 WholeCellGroupOpener->True,
 CellID->1255426704],

Cell[TextData[{
 StyleBox[ButtonBox["HypExplicit",
  BaseStyle->"Link",
  ButtonData->"paclet:FeynCalc/ref/HypExplicit",
  ButtonNote->"HypExplicit"],
  FontFamily->"Verdana"],
 ", ",
 StyleBox[ButtonBox["HypergeometricIR",
  BaseStyle->"Link",
  ButtonData->"paclet:FeynCalc/ref/HypergeometricIR",
  ButtonNote->"HypergeometricIR"],
  FontFamily->"Verdana"],
 ", ",
 StyleBox[ButtonBox["HypergeometricSE",
  BaseStyle->"Link",
  ButtonData->"paclet:FeynCalc/ref/HypergeometricSE",
  ButtonNote->"HypergeometricSE"],
  FontFamily->"Verdana"],
 ", ",
 StyleBox[ButtonBox["ToHypergeometric",
  BaseStyle->"Link",
  ButtonData->"paclet:FeynCalc/ref/ToHypergeometric",
  ButtonNote->"ToHypergeometric"],
  FontFamily->"Verdana"],
 "."
}], "SeeAlso"]
}, Open  ]],

Cell[" ", "FooterCell"]
},
Saveable->False,
ScreenStyleEnvironment->"Working",
WindowSize->{725, 750},
WindowMargins->{{-10, Automatic}, {Automatic, -8}},
WindowTitle->"HypergeometricAC",
TaggingRules->{
 "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> 
  GridBox[{{
      RowBox[{
        ButtonBox[
        "FeynCalc", ButtonData -> "paclet:FeynCalc/guide/FeynCalc", 
         BaseStyle -> {"Link", "DockedLinkTrail"}]}]}}, ColumnAlignments -> 
    Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> 
  None, "RootCaptions" -> "", 
  "Metadata" -> {
   "built" -> "{2020, 6, 20, 19, 7, 49.704780}", 
    "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", 
    "keywords" -> {}, "specialkeywords" -> {}, 
    "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> 
    "Feyn Calc Symbol", "language" -> "en", "paclet" -> "FeynCalc", "status" -> 
    "None", "summary" -> 
    "HypergeometricAC[n][exp] analytically continues Hypergeometric2F1 \
functions in exp. The second argument n refers to the equation number (n) in \
chapter 2.10 of \"Higher Transcendental Functions\" by Ergelyi, Magnus, \
Oberhettinger, Tricomi. In case of eq. (6) (p.109) the last line is returned \
for HypergeometricAC[6][exp], while the first equality is given by \
HypergeometricAC[61][exp]. ((2.10.1) is identical to eq. (9.5.7) of \"Special \
Functions & their Applications\" by N.N.Lebedev).", "synonyms" -> {}, 
    "tabletags" -> {}, "title" -> "HypergeometricAC", "titlemodifier" -> "", 
    "windowtitle" -> "HypergeometricAC", "type" -> "Symbol", "uri" -> 
    "FeynCalc/ref/HypergeometricAC"}, "SearchTextTranslated" -> ""},
CellContext->"Global`",
FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)",
StyleDefinitions->Notebook[{
   Cell[
    StyleData[
    StyleDefinitions -> FrontEnd`FileName[{"Wolfram"}, "Reference.nb"]]], 
   Cell[
    StyleData["Input"], CellContext -> "Global`"], 
   Cell[
    StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, 
  FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", 
  StyleDefinitions -> "Default.nb"]
]
(* End of Notebook Content *)

(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{
 "HypergeometricAC"->{
  Cell[5968, 172, 151, 4, 70, "Input",
   CellTags->"HypergeometricAC",
   CellID->860770759],
  Cell[6122, 178, 265, 9, 37, "Output",
   CellTags->"HypergeometricAC"],
  Cell[7155, 225, 283, 8, 27, "Input",
   CellTags->"HypergeometricAC",
   CellID->1062959179],
  Cell[7441, 235, 1497, 46, 109, "Output",
   CellTags->"HypergeometricAC"],
  Cell[8975, 286, 283, 8, 27, "Input",
   CellTags->"HypergeometricAC",
   CellID->1497393441],
  Cell[9261, 296, 1462, 46, 149, "Output",
   CellTags->"HypergeometricAC"],
  Cell[10760, 347, 283, 8, 27, "Input",
   CellTags->"HypergeometricAC",
   CellID->1365244505],
  Cell[11046, 357, 1503, 47, 149, "Output",
   CellTags->"HypergeometricAC"],
  Cell[12586, 409, 282, 8, 27, "Input",
   CellTags->"HypergeometricAC",
   CellID->411308116],
  Cell[12871, 419, 1773, 54, 124, "Output",
   CellTags->"HypergeometricAC"],
  Cell[14681, 478, 282, 8, 27, "Input",
   CellTags->"HypergeometricAC",
   CellID->436366778],
  Cell[14966, 488, 501, 16, 54, "Output",
   CellTags->"HypergeometricAC"],
  Cell[15504, 509, 283, 8, 27, "Input",
   CellTags->"HypergeometricAC",
   CellID->417226545],
  Cell[15790, 519, 502, 16, 54, "Output",
   CellTags->"HypergeometricAC"]},
 "PrimaryExamplesSection"->{
  Cell[6448, 194, 388, 15, 31, "PrimaryExamplesSection",
   CellTags->"PrimaryExamplesSection",
   CellID->1636275926]}
 }
*)
(*CellTagsIndex
CellTagsIndex->{
 {"HypergeometricAC", 19691, 637},
 {"PrimaryExamplesSection", 20929, 673}
 }
*)
(*NotebookFileOutline
Notebook[{
Cell[588, 21, 3371, 80, 53, "AnchorBarGrid",
 CellID->1],
Cell[3962, 103, 293, 11, 45, "ObjectNameGrid"],
Cell[CellGroupData[{
Cell[4280, 118, 866, 20, 154, "Usage",
 CellID->982511436],
Cell[CellGroupData[{
Cell[5171, 142, 738, 24, 31, "NotesSection",
 CellGroupingRules->{"SectionGrouping", 50},
 CellID->520602728],
Cell[5912, 168, 31, 0, 70, "SectionHeaderSpacer"],
Cell[CellGroupData[{
Cell[5968, 172, 151, 4, 70, "Input",
 CellTags->"HypergeometricAC",
 CellID->860770759],
Cell[6122, 178, 265, 9, 37, "Output",
 CellTags->"HypergeometricAC"]
}, Open  ]]
}, Closed]]
}, Open  ]],
Cell[CellGroupData[{
Cell[6448, 194, 388, 15, 31, "PrimaryExamplesSection",
 CellTags->"PrimaryExamplesSection",
 CellID->1636275926],
Cell[CellGroupData[{
Cell[6861, 213, 195, 6, 26, "ExampleSection",
 CellID->949216221],
Cell[7059, 221, 71, 0, 32, "Notes"],
Cell[CellGroupData[{
Cell[7155, 225, 283, 8, 27, "Input",
 CellTags->"HypergeometricAC",
 CellID->1062959179],
Cell[7441, 235, 1497, 46, 109, "Output",
 CellTags->"HypergeometricAC"]
}, Open  ]],
Cell[CellGroupData[{
Cell[8975, 286, 283, 8, 27, "Input",
 CellTags->"HypergeometricAC",
 CellID->1497393441],
Cell[9261, 296, 1462, 46, 149, "Output",
 CellTags->"HypergeometricAC"]
}, Open  ]],
Cell[CellGroupData[{
Cell[10760, 347, 283, 8, 27, "Input",
 CellTags->"HypergeometricAC",
 CellID->1365244505],
Cell[11046, 357, 1503, 47, 149, "Output",
 CellTags->"HypergeometricAC"]
}, Open  ]],
Cell[CellGroupData[{
Cell[12586, 409, 282, 8, 27, "Input",
 CellTags->"HypergeometricAC",
 CellID->411308116],
Cell[12871, 419, 1773, 54, 124, "Output",
 CellTags->"HypergeometricAC"]
}, Open  ]],
Cell[CellGroupData[{
Cell[14681, 478, 282, 8, 27, "Input",
 CellTags->"HypergeometricAC",
 CellID->436366778],
Cell[14966, 488, 501, 16, 54, "Output",
 CellTags->"HypergeometricAC"]
}, Open  ]],
Cell[CellGroupData[{
Cell[15504, 509, 283, 8, 27, "Input",
 CellTags->"HypergeometricAC",
 CellID->417226545],
Cell[15790, 519, 502, 16, 54, "Output",
 CellTags->"HypergeometricAC"]
}, Open  ]]
}, Open  ]],
Cell[16319, 539, 31, 0, 29, "SectionFooterSpacer"]
}, Open  ]],
Cell[CellGroupData[{
Cell[16387, 544, 270, 12, 31, "SeeAlsoSection",
 CellID->1255426704],
Cell[16660, 558, 745, 25, 56, "SeeAlso"]
}, Open  ]],
Cell[17420, 586, 23, 0, 41, "FooterCell"]
}
]
*)

(* End of internal cache information *)

